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Finding the Fourth Proportional to 299,391.37, 412,458.27 and 208,583.08

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Solution

The fourth proportional to 299,391.37, 412,458.27 and 208,583.08 is: 287,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,391.37 : 412,458.27 = 208,583.08 : x
  2. Step 2: Convert to fraction form
    299,391.37/412,458.27 = 208,583.08/x
  3. Step 3: Cross multiply
    299,391.37x = 412,458.27 × 208,583.08
  4. Step 4: Simplify right side
    299,391.37x = 86,031,816,328.07
  5. Step 5: Solve for x
    x = 86,031,816,328.07/299,391.37
  6. Step 6: Final answer
    x = 287,355.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.